I’d say no.
The American Museum of Natural History and the Met are both pay what you can/will. You could essentially pay a $1 for each (you should pay more than this, as it’s benevolent City residents and benefactors who are paying your way).
After you remove those two, you’re looking at paying $122 for four excursions. I personally think it’s a waste of time to go on a Circle Line tour or go to the Statue of Liberty, particularly if you’re over the age of 8. Just take the Staten Island Ferry (it’s free), you can even grab a beer along the way and you’ll get a better view of the harbor at large (i.e. New York beyond Manhattan). If you believe me that the Staten Island Ferry is a better bet, we’re down to three sites for $122, and the entry fees for the three adds up to less than $122.
If you really want to go to all of those places, sure, it might still make sense. If, on the other hand, you’re not sure if all of them are on your NYC bucket list, then you’re probably better off picking your spots and saving a little money by going to the places you really want to go to.